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Finding the Fourth Proportional to 18,672.69, 25,768.23 and 10,174.78

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Solution

The fourth proportional to 18,672.69, 25,768.23 and 10,174.78 is: 14,041.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,672.69 : 25,768.23 = 10,174.78 : x
  2. Step 2: Convert to fraction form
    18,672.69/25,768.23 = 10,174.78/x
  3. Step 3: Cross multiply
    18,672.69x = 25,768.23 × 10,174.78
  4. Step 4: Simplify right side
    18,672.69x = 262,186,071.24
  5. Step 5: Solve for x
    x = 262,186,071.24/18,672.69
  6. Step 6: Final answer
    x = 14,041.15

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.